The vertices of ∆MNO and ∆PQR are described in the table.

∆MNO ∆PQR
M (2, 4) P (−4, 8)
N (5, 4) Q (−10, 8)
O (6, 2) R (−12, 4)

How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid transformations?
∆MNO was dilated by a scale factor of one half from the origin, then rotated 180° clockwise about the origin to form ∆PQR.
∆MNO was dilated by a scale factor of one half from the origin, then reflected over the x-axis to form ∆PQR.
∆MNO was dilated by a scale factor of 2 from the origin, then reflected over the y-axis to form ∆PQR.
∆MNO was dilated by a scale factor of 2 from the origin, then translated left 5 units to form ∆PQR.

Question

The vertices of ∆MNO and ∆PQR are described in the table.

∆MNO	∆PQR
M (2, 4)	P (−4, 8)
N (5, 4)	Q (−10, 8)
O (6, 2)	R (−12, 4)

How can ∆MNO ~ ∆PQR be justified using rigid and non-rigid transformations?
 ∆MNO was dilated by a scale factor of one half  from the origin, then rotated 180° clockwise about the origin to form ∆PQR.
 ∆MNO was dilated by a scale factor of one half from the origin, then reflected over the x-axis to form ∆PQR.
 ∆MNO was dilated by a scale factor of 2 from the origin, then reflected over the y-axis to form ∆PQR.
 ∆MNO was dilated by a scale factor of 2 from the origin, then translated left 5 units to form ∆PQR.